211055460 has 144 divisors (see below), whose sum is σ = 742535808. Its totient is φ = 43845120.

The previous prime is 211055443. The next prime is 211055473. The reversal of 211055460 is 64550112.

It is a self number, because there is not a number n which added to its sum of digits gives 211055460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48744 + ... + 52896.

Almost surely, 2^211055460 is an apocalyptic number.

211055460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211055460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371267904).

211055460 is an abundant number, since it is smaller than the sum of its proper divisors (531480348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211055460 is a wasteful number, since it uses less digits than its factorization.

211055460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 211055460 is about 14527.7479328353. The cubic root of 211055460 is about 595.3863366715.

It can be divided in two parts, 21105 and 5460, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 211055460 in words is "two hundred eleven million, fifty-five thousand, four hundred sixty".